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Exact solutions of the Dirac equation with scalar and vector Hartmann potentials. (English) Zbl 1145.81352

Summary: Exact solutions of the Dirac equation with Hartmann potentials are studied under the condition that the scalar potential is equal to the vector potential. The exact energy expressions and the spinor wave functions for bound states are presented.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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[1] Dominguez-Adame, F., Phys. Lett. A, 136, 175 (1989)
[2] Talukdar, B.; Yunus, A.; Amin, M. R., Phys. Lett. A, 141, 326 (1989)
[3] Hu, S. Z.; Su, R. K., Acta Phys. Sinica, 40, 1201 (1991), (in Chinese)
[4] Hou, C. F.; Li, Y.; Zhou, Z. X., Acta Phys. Sinica, 48, 1999 (1999), (in Chinese)
[5] Chen, G., Acta Phys. Sinica, 53, 680 (2004), (in Chinese)
[6] Su, R. K.; Ma, Z. Q., J. Phys. A, 19, 1739 (1986) · Zbl 0617.35125
[7] Qiang, W. C., Chin. Phys., 11, 757 (2002)
[8] Qiang, W. C., Chin. Phys., 12, 136 (2003)
[9] Zhang, X. A.; Chen, K.; Duan, Z. L., Chin. Phys., 14, 42 (2005)
[10] Hartmann, H., Theor. Chim. Acta, 24, 201 (1972)
[11] Hartmann, H.; Schuck, R.; Radtke, J., Theor. Chim. Acta, 46, 1 (1976)
[12] Hartmann, H.; Schuck, D., Int. J. Quantum Chem., 18, 125 (1980)
[13] Gerry, C. C., Phys. Lett. A, 118, 445 (1986)
[14] Kibler, M.; Negadi, T., Int. J. Quantum Chem., 26, 405 (1984)
[15] Sökmen, I., Phys. Lett. A, 115, 249 (1986)
[16] Kibler, M.; Negadi, T., Theor. Chim. Acta, 66, 31 (1984)
[17] Blado, G. G., Theor. Chim. Acta, 94, 53 (1996)
[18] Blado, G. G., Int. J. Quantum Chem., 58, 431 (1996)
[19] Qian, S. W.; Huang, B. W.; Wang, D. Y.; Gu, Z. Y., Commun. Theor. Phys., 38, 139 (2002) · Zbl 1267.81175
[20] Chen, G., Chin. Phys., 13, 144 (2004)
[21] Vaidya, A. N.; Boschi, H., J. Math. Phys., 31, 1951 (1991)
[22] Chen, C. Y.; Liu, C. L.; Sun, D. S., Phys. Lett. A, 305, 341 (2002) · Zbl 1005.81023
[23] Chen, C. Y.; Sun, D. S.; Liu, C. L., Phys. Lett. A, 317, 80 (2003) · Zbl 1056.81037
[24] Chen, C. Y.; Lu, F. L.; Sun, D. S., Phys. Lett. A, 329, 420 (2004) · Zbl 1209.81181
[25] Kibler, M.; Winternitz, P., J. Phys. A, 20, 4097 (1987) · Zbl 0684.35083
[26] Granovskii, Y. I.; Zhedanov, A. S.; Lutzenko, I. M., J. Phys. A, 24, 3887 (1991)
[27] Zhedanov, A. S., J. Phys. A, 26, 4633 (1993)
[28] Chen, C. Y.; Hu, S. Z., Acta Phys. Sinica, 44, 9 (1995), (in Chinese)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.